What is the solution for (x+2)(dy)/(dx)+y=ln(x),y(1)=20 ?

The solution for (x+2)(dy)/(dx)+y=ln(x),y(1)=20 is y=(xln(x))/(x+2)-x/(x+2)+(61)/(x+2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x+2)(dy)/(dx)+y=ln(x),y(1)=20

(x + 2) \frac{d y}{d x} + y = ln (x), y (1) = 20

y = \frac{x ln ( x )}{x + 2} - \frac{x}{x + 2} + \frac{61}{x + 2}

Solution steps

(x + 2) \frac{d y}{d x} + y = ln (x)

Solve linear ODE:

y = \frac{x ln ( x )}{x + 2} - \frac{x}{x + 2} + \frac{61}{x + 2}

y = \frac{x ln ( x )}{x + 2} - \frac{x}{x + 2} + \frac{61}{x + 2}

x, x^{2}, 0, 1

\frac{\partial}{\partial y} (x^{2} y + y^{2} z)

\frac{x - 14}{x - 14}

\frac{d}{d x} (\frac{1}{x ( x + 1 )})

h \to 0 lim (\frac{\frac{4}{9 + h} - \frac{4}{9}}{h})

What is the solution for (x+2)(dy)/(dx)+y=ln(x),y(1)=20 ?
The solution for (x+2)(dy)/(dx)+y=ln(x),y(1)=20 is y=(xln(x))/(x+2)-x/(x+2)+(61)/(x+2)